The Casimir effects for one-dimensional fractal networks, so-called quantum graphs is studied. Based on the Green function approach for quantum graphs zero-point energy for some simplest topologies is written explicitly.
@article{arxiv.0707.3710,
title = {Casimir Effect for Quantum Graphs},
author = {D. U. Matrasulov and J. R. Yusupov and P. K. Khabibullaev and A. A. Saidov},
journal= {arXiv preprint arXiv:0707.3710},
year = {2007}
}